Can I long and short simultaneously ?

Does your country provide a tax advantage for this? Why not just close the equity position when you want to be flat?
Let say I buy to enter but the momentum reverses. My options are to hold and wait for the shares to reverse long or sell to exit and take a loss. I was wondering if there was a way to sell to enter with new shares while maintaining my existing long position....but clearly that's not possible and first need to close my position, take the loss, then short.
 
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